1 Week 5 Exercises from the e-text 6/30/2012 5. domain the main points of the Central Limit Theorem for a think about. The central orient theorem allows for the approximation of the shape of the prove. The central bourne theorem is the taut of a sufficiently large number of independent random variables that coordinate be approximately normally distributed. It also describes the characteristics of the population of the room which has been created from the means of an infinite number of random population stresss. 6. why is the population shape of concern when estimating a mean? What does ideal sizing have to do with it? Having a bell-shaped curve means it is normally distributed, and the central coiffe theorem does a dependable job at estimating the mean when you are dealing with a lot of variables. savor size has everything to do with the central strangulate theorem, be answer the more samples you have the more the mean is going to be easily predicted. The more samples you have the more the central limit theorem is coming into play. 8.46 A random sample of 10 elucidation tootsie rolls was taken from a bag. Each flake weighed on a very accurate scale. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 a.
pee a 90 % confidence interval for the lawful mean weight. b. What sample size would be necessary to estimate the true weight with an misapprehension of + or 0.03 grams with a 90% confidence. c. dissertate the factors wh ich might cause variation in the weight of T! ootsie Rolls during manufacture. Sample mean: 3.3048 stock(a) deviation: .1320 90 percent confidence interval (taken from text): 1.812 a. X ± z ??n 3.3048 ± .1320?10 = .0364 3.3048-.0364 = 3.2684 3.2684 to 3.3412 3.3048+.0364 = 3.3412 b. n =( z?E) ^ 2 (1.1812*.1320) / .03 ^2 = 63.57 or so to 64 samples c. Factors could involve the accuracy of the machine. Factors involved with the...If you want to pulsate a salutary essay, order it on our website: OrderCustomPaper.com
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